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Finding the Third Proportional to 30,030 and 43,256

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Solution

The third proportional to 30,030 and 43,256 is: 62,307.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,030 : 43,256 = 43,256 : x
  2. Step 2: Convert to fraction form
    30,030/43,256 = 43,256/x
  3. Step 3: Cross multiply
    30,030x = 43,256 × 43,256
  4. Step 4: Simplify right side
    30,030x = 1,871,081,536
  5. Step 5: Solve for x
    x = 1,871,081,536/30,030
  6. Step 6: Final answer
    x = 62,307.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.